A calendar is sold for $75 after a discount of 25%. What was the original price?

₹0.0

Question: A calendar is sold for $75 after a discount of 25%. What was the original price?

Options:

Correct Answer: $90

Solution:

Let the original price be x. Then, x - (25/100 * x) = 75. Solving gives x = $100.

A calendar is sold for $75 after a discount of 25%. What was the original price?

A calendar is sold for $75 after a discount of 25%. What was the original price?

Step 1: Let the original price of the calendar be x.
Step 2: The discount is 25% of the original price, which is (25/100) * x.
Step 3: After applying the discount, the price becomes x - (25/100 * x).
Step 4: We know that after the discount, the price is $75, so we can write the equation: x - (25/100 * x) = 75.
Step 5: Simplify the left side of the equation: x - (0.25 * x) = 75.
Step 6: This simplifies to 0.75 * x = 75.
Step 7: To find x, divide both sides of the equation by 0.75: x = 75 / 0.75.
Step 8: Calculate 75 / 0.75, which equals 100.
Step 9: Therefore, the original price of the calendar is $100.

Percentage Discount – Understanding how to calculate the original price from a discounted price using percentage.
Algebraic Manipulation – Using algebra to solve for the unknown variable in an equation.